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kupik [55]
3 years ago
7

Find the rate as a ratio of distance to time 369 km , 3 sec simplify answer

Mathematics
1 answer:
Nuetrik [128]3 years ago
6 0
Rate or velocity is always distance divided by time

369 km / 3 sec =
123 kilometers per second


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Graph the inverse circular function by hand, given f(x) = 3sin(2x) ;-pi/4 ≤ ≤pi/4
nasty-shy [4]

Part a)

a) The given function is

f(x) = 3 \sin(2x)

We let

y =  3 \sin(2x)

Interchange x and y.

x=  3 \sin(2y)

Solve for y;

\frac{x}{3}  =  \sin(2y)

y =  \frac{1}{2}  { \sin}^{ - 1}( \frac{x}{3} )

{f}^{ - 1}(x)  =  \frac{1}{2}  { \sin}^{ - 1}( \frac{x}{3} )

Part b) The range of f(x) refers to y-values for which f(x) exists.

The range of f(x) is

-  3 \leqslant y \leqslant 3

This is because the function is within y=-3 and y=3.

c) The range of

{f}^{ - 1} (x)

is

-  \frac{ \pi}{4}  \leqslant y \leqslant  \frac{\pi}{4}

The domain is -3≤x≤3

This is because the domain and range of a function and its inverse swaps.

Part d) The graph is shown in the attachment.

3 0
4 years ago
A list of the entire population is​ called​ a(n):
Nesterboy [21]

Answer: C

Step-by-step explanation:

3 0
3 years ago
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How many square inches are in 60 ft.
NeTakaya
8640 square inches.
6 0
3 years ago
Can someone please HELP me on how to do this
frutty [35]

Answer:

4)x= g-c

5)x =u+k

6)x = g-c

7)a=\frac{k}{u}

8)x= \frac{g}{c}

9)a=\frac{4}{12m}

10)x= \frac{2c+3}{3}

11)a=\frac{n+p}{m}

12)a= \frac{ub}{k}

13)a= d -r + c

14)x=\frac{np}{m}

Step-by-step explanation:

4) g= c+x

x= g-c

5) u=x-k

x =u+k

6)g = c+x

x = g-c

7) u=\frac{k}{a} \\\\a=\frac{k}{u}

8) g=xc

x= \frac{g}{c}

9) 12am = 4

a=\frac{4}{12m}

10)-3x+2c = -3

2c = -3 +3x

2c +3 = 3x

x= \frac{2c+3}{3}

11) am= n+p

a=\frac{n+p}{m}

12)u = \frac{ak}{b} \\\\u*b = ak\\\\a= \frac{ub}{k}

13)a-c = d-r

a= d -r + c

14)xm= np

x=\frac{np}{m}

7 0
3 years ago
For what value of p would the statement 10p = 30 be true?
ExtremeBDS [4]

Step-by-step explanation:

10p = 30

or, 10*3 = 30

Therefore , the value of p should be 3 to make the statement true.

4 0
4 years ago
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